.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        Click :ref:`here <sphx_glr_download_auto_probabilistic_modeling_distributions_plot_2d_gaussian_distribution.py>`     to download the full example code
    .. rst-class:: sphx-glr-example-title

    .. _sphx_glr_auto_probabilistic_modeling_distributions_plot_2d_gaussian_distribution.py:


Create a 2-d gaussian distribution
==================================

In this example we are going to create a bidimensional gaussian distribution with parameters :math:`\mu = [0.0, 2.2], \sigma = [1.0, 0.6]`.



.. code-block:: default

    from __future__ import print_function
    import openturns as ot
    import openturns.viewer as viewer
    from matplotlib import pylab as plt
    ot.Log.Show(ot.Log.NONE)








create the distribution, no correlation


.. code-block:: default

    distribution = ot.Normal([0.0, 2.0], [1.0, 0.6], ot.CorrelationMatrix(2))
    print(distribution)





.. rst-class:: sphx-glr-script-out

 Out:

 .. code-block:: none

    Normal(mu = [0,2], sigma = [1,0.6], R = [[ 1 0 ]
     [ 0 1 ]])




draw a sample


.. code-block:: default

    sample = distribution.getSample(10)
    print(sample)





.. rst-class:: sphx-glr-script-out

 Out:

 .. code-block:: none

        [ X0        X1        ]
    0 : [ -0.533767  2.50205  ]
    1 : [  0.637214  2.74318  ]
    2 : [ -0.330867  1.94233  ]
    3 : [  1.90132   2.92378  ]
    4 : [  0.210666  2.00093  ]
    5 : [ -2.17162   2.16491  ]
    6 : [  0.670238  1.76749  ]
    7 : [  0.429259  3.81131  ]
    8 : [ -1.69802   2.44749  ]
    9 : [ -0.238387  2.08961  ]




draw PDF


.. code-block:: default

    graph = distribution.drawPDF()
    view = viewer.View(graph)
    plt.show()



.. image:: /auto_probabilistic_modeling/distributions/images/sphx_glr_plot_2d_gaussian_distribution_001.png
    :alt: [X0,X1] iso-PDF
    :class: sphx-glr-single-img






.. rst-class:: sphx-glr-timing

   **Total running time of the script:** ( 0 minutes  0.128 seconds)


.. _sphx_glr_download_auto_probabilistic_modeling_distributions_plot_2d_gaussian_distribution.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-example



  .. container:: sphx-glr-download sphx-glr-download-python

     :download:`Download Python source code: plot_2d_gaussian_distribution.py <plot_2d_gaussian_distribution.py>`



  .. container:: sphx-glr-download sphx-glr-download-jupyter

     :download:`Download Jupyter notebook: plot_2d_gaussian_distribution.ipynb <plot_2d_gaussian_distribution.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_